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Finding the Fourth Proportional to 219,006.40, 329,200.80 and 202,417.60

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Solution

The fourth proportional to 219,006.40, 329,200.80 and 202,417.60 is: 304,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,006.40 : 329,200.80 = 202,417.60 : x
  2. Step 2: Convert to fraction form
    219,006.40/329,200.80 = 202,417.60/x
  3. Step 3: Cross multiply
    219,006.40x = 329,200.80 × 202,417.60
  4. Step 4: Simplify right side
    219,006.40x = 66,636,035,854.08
  5. Step 5: Solve for x
    x = 66,636,035,854.08/219,006.40
  6. Step 6: Final answer
    x = 304,265.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.